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1074121488 = 2432112967349
BaseRepresentation
bin100000000000101…
…1100101100010000
32202212011000200100
41000001130230100
54144433341423
6254330052400
735421611346
oct10001345420
92685130610
101074121488
1150134a410
1225b87a100
131416bc95b
14a2923996
1564473343
hex4005cb10

1074121488 has 240 divisors, whose sum is σ = 3452904000. Its totient is φ = 308689920.

The previous prime is 1074121487. The next prime is 1074121493. The reversal of 1074121488 is 8841214701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1074121487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3077538 + ... + 3077886.

It is an arithmetic number, because the mean of its divisors is an integer number (14387100).

Almost surely, 21074121488 is an apocalyptic number.

1074121488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074121488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726452000).

1074121488 is an abundant number, since it is smaller than the sum of its proper divisors (2378782512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1074121488 is a wasteful number, since it uses less digits than its factorization.

1074121488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1074121488 is about 32773.7927008761. The cubic root of 1074121488 is about 1024.1206777129.

It can be divided in two parts, 107412 and 1488, that added together give a square (108900 = 3302).

The spelling of 1074121488 in words is "one billion, seventy-four million, one hundred twenty-one thousand, four hundred eighty-eight".